UNIFORM HYPERBOLICITY OF THE CURVE GRAPHS

被引：53
|
作者：
Bowditch, Brian H. [1 ]
机构：
[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 269卷 / 02期
关键词：
uniform hyperbolicity; curve graph; surface; GEOMETRY; COMPLEX;
D O I：
10.2140/pjm.2014.269.269
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that there is a universal constant, k, such that the curve graph associated to any compact orientable surface is k-hyperbolic. Independent proofs of this have been given by Aougab, by Hensel, Przytycki and Webb, and by Clay, Rafi and Schleimer.
引用
收藏
页码：269 / 280
页数：12
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